1100010100181 has 2 divisors, whose sum is σ = 1100010100182. Its totient is φ = 1100010100180.

The previous prime is 1100010100169. The next prime is 1100010100207. The reversal of 1100010100181 is 1810010100011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 872710956100 + 227299144081 = 934190^2 + 476759^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100010100181 - 2¹⁴ = 1100010083797 is a prime.

It is a super-2 number, since 2×1100010100181² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100010100081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550005050090 + 550005050091.

It is an arithmetic number, because the mean of its divisors is an integer number (550005050091).

Almost surely, 2^{1100010100181} is an apocalyptic number.

It is an amenable number.

1100010100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100010100181 is an equidigital number, since it uses as much as digits as its factorization.

1100010100181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1100010100181 its reverse (1810010100011), we get a palindrome (2910020200192).

The spelling of 1100010100181 in words is "one trillion, one hundred billion, ten million, one hundred thousand, one hundred eighty-one".